Question

If the potential difference across the inductor (9 mH) is same as that across the condenser (10 µF) in a series R-L-C circuit, then the frequency of the applied e.m.f. is nearly ____________.

Options

• 180 Hz

• 530 Hz

• 890 Hz

• 5 k Hz

Answer 1

If the potential difference across the inductor (9 mH) is same as that across the condenser (10 µF) in a series R-L-C circuit, then the frequency of the applied e.m.f. is nearly 530 Hz.

Explanation:

Given that, V_L = V_c

`"F"_r = 1/(2pi sqrt"LC")  = 1/(2pi sqrt(9 xx 10^-3 xx 10 xx 10^-6))`

`10^4/(2pi xx 3) approx 530  "Hz"`